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Finding the Third Proportional to 693,685.50 and 1,513,424

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Solution

The third proportional to 693,685.50 and 1,513,424 is: 3,301,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,685.50 : 1,513,424 = 1,513,424 : x
  2. Step 2: Convert to fraction form
    693,685.50/1,513,424 = 1,513,424/x
  3. Step 3: Cross multiply
    693,685.50x = 1,513,424 × 1,513,424
  4. Step 4: Simplify right side
    693,685.50x = 2,290,452,203,776
  5. Step 5: Solve for x
    x = 2,290,452,203,776/693,685.50
  6. Step 6: Final answer
    x = 3,301,859.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.